1312133141 has 32 divisors (see below), whose sum is σ = 1590451200. Its totient is φ = 1068439680.

The previous prime is 1312133107. The next prime is 1312133143. The reversal of 1312133141 is 1413312131.

It is not a de Polignac number, because 1312133141 - 2⁶ = 1312133077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312133143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426290 + ... + 429356.

It is an arithmetic number, because the mean of its divisors is an integer number (49701600).

Almost surely, 2^1312133141 is an apocalyptic number.

1312133141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1312133141 is a deficient number, since it is larger than the sum of its proper divisors (278318059).

1312133141 is a wasteful number, since it uses less digits than its factorization.

1312133141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209.

The product of its digits is 216, while the sum is 20.

The square root of 1312133141 is about 36223.3783764022. The cubic root of 1312133141 is about 1094.7777649257. Note that the first 4 decimals are identical.

Adding to 1312133141 its reverse (1413312131), we get a palindrome (2725445272).

The spelling of 1312133141 in words is "one billion, three hundred twelve million, one hundred thirty-three thousand, one hundred forty-one".